Question 1

Divide.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 2

Simplify by rationalizing the denominator.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    B

Question 3

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 4

Simplify by rationalizing the denominator.
-

Accepted Answer

A)    
B)    
C)  -1 
D)    
A)    
B)    
C)  -1 
D)

Question 5

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  33 
A)    
B)    
C)    
D)  33

Question 8

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)  128 
B)  16 
C)  64 
D)  32 
A)  128 
B)  16 
C)  64 
D)  32

Question 9

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Add or subtract.
-(3 + 6i) - (-8 + i)

Accepted Answer

A)  -5 + 7i 
B)  -11 - 5i 
C)  11 + 5i 
D)  11 - 5i 
A)  -5 + 7i 
B)  -11 - 5i 
C)  11 + 5i 
D)  11 - 5i

Question 11

Use absolute value to evaluate.
-

Accepted Answer

A)  4.45 
B)  -2.11 
C)  2.11 
D)  not a real number 
A)  4.45 
B)  -2.11 
C)  2.11 
D)  not a real number

Question 12

Provide an appropriate response.
-A perfect is a number or expression that can be written as a square of an expression.

Accepted Answer

A)  square root 
B)  cube 
C)  cube root 
D)  square 
A)  square root 
B)  cube 
C)  cube root 
D)  square

Question 13

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Add or subtract.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Solve the problem.
-A formula for the length of a diagonal from the upper corner of a box to the opposite lower corner is   where L, W, and H are the length, width, and height, respectively. Find the length of the diagonal of the box if the length is 23 inches, width is 13 inches, and height is 9 inches. Leave your answer in
Simplified radical form.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Add or subtract.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Simplify by rationalizing the denominator.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Write the expression in radical form. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Simplify.
-

Accepted Answer

A)  0 
B)    
C)    
D)    
A)  0 
B)    
C)    
D)

Question 20

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  1 
A)    
B)    
C)    
D)  1

Divide. -

Simplify by rationalizing the denominator. -

Simplify. Assume all variables represent positive real numbers. -

Simplify by rationalizing the denominator. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Evaluate if possible. If the expression is not a real number, so state. -

Simplify. Assume all variables represent positive real numbers. -

Add or subtract. -(3 + 6i) - (-8 + i)

Use absolute value to evaluate. -

Provide an appropriate response. -A perfect is a number or expression that can be written as a square of an expression.

Simplify. Assume all variables represent positive real numbers. -

Add or subtract. -

Add or subtract. -

Simplify by rationalizing the denominator. -

Write the expression in radical form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 11: Roots, Radicals, and Complex Numbers

Divide. -

Simplify by rationalizing the denominator. -

Simplify. Assume all variables represent positive real numbers. -

Simplify by rationalizing the denominator. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Evaluate if possible. If the expression is not a real number, so state. -

Simplify. Assume all variables represent positive real numbers. -

Add or subtract. -(3 + 6i) - (-8 + i)

Use absolute value to evaluate. -

Provide an appropriate response. -A perfect is a number or expression that can be written as a square of an expression.

Simplify. Assume all variables represent positive real numbers. -

Add or subtract. -

Add or subtract. -

Simplify by rationalizing the denominator. -

Write the expression in radical form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters